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SBI PO Previous Year Question Paper
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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections (Q1 and Q2): In the following questions two equations are given. Solve these equations and choose the correct option.
2x2 – 11x + 12 = 0
8y2 – 25y – 82 = 0Correct
Answer- 5) x = y or the relationship between x and y cannot be established
Explanation-
2x2 – 11x + 12 = 0
2x2 – 8x – 3x + 12 = 0
(2x – 3)(x – 4) = 0
x = 3/2, 48y2 – 25y – 82 = 0
8y2 – 41y – 16y – 82 = 0
(y + 2)(8y – 41) = 0
y = 41/8, -2
Therefore, option 5 is correct.Incorrect
Answer- 5) x = y or the relationship between x and y cannot be established
Explanation-
2x2 – 11x + 12 = 0
2x2 – 8x – 3x + 12 = 0
(2x – 3)(x – 4) = 0
x = 3/2, 48y2 – 25y – 82 = 0
8y2 – 41y – 16y – 82 = 0
(y + 2)(8y – 41) = 0
y = 41/8, -2
Therefore, option 5 is correct. -
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeDirections (Q1 and Q2): In the following questions two equations are given. Solve these equations and choose the correct option.
6x2 + x – 12 = 0
9y2 – 42y + 45 = 0Correct
Answer- 1) x < y
Explanation-
6x2 + 9x – 8x – 12 = 0
3x (2x + 3) – 4(2x + 3) = 0
x = 4/3, -3/29y2 – 42y + 45 = 0
9y2 – 27y – 15y + 45 = 0
9y(y – 3) – 15(y – 3) = 0
y = 3, 5/3Therefore, x < y
Incorrect
Answer- 1) x < y
Explanation-
6x2 + 9x – 8x – 12 = 0
3x (2x + 3) – 4(2x + 3) = 0
x = 4/3, -3/29y2 – 42y + 45 = 0
9y2 – 27y – 15y + 45 = 0
9y(y – 3) – 15(y – 3) = 0
y = 3, 5/3Therefore, x < y
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Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeDirections (Q3 and Q4). Find the values of following quantities and choose the correct option.
Quantity 1: Difference between compound interest and simple interest on Rs 80000 for 3 years at the rate of 10% per annum.
Quantity 2: Share of B in the profit at the end of year. A, B and C invested money in the ratio 38:26:45. A invested the money for 6 months, B invested for 1 year and C invested for 8 months. Total profit is Rs 7650.Correct
Answer- 3) Quantity 2 > Quantity 1
Explanation-
Difference between compound interest and simple interest = 3.1% of 80000 = Rs 2480 = Quantity 1
Share of B in the profit = 26/ (38 × 1/2 + 26 + 45 × 2/3) × 7650 = 26/75 × 7650 = Rs 2650 = Quantity 2
Therefore, Quantity 2 > Quantity 1Incorrect
Answer- 3) Quantity 2 > Quantity 1
Explanation-
Difference between compound interest and simple interest = 3.1% of 80000 = Rs 2480 = Quantity 1
Share of B in the profit = 26/ (38 × 1/2 + 26 + 45 × 2/3) × 7650 = 26/75 × 7650 = Rs 2650 = Quantity 2
Therefore, Quantity 2 > Quantity 1 -
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeDirections (Q3 and Q4). Find the values of following quantities and choose the correct option.
Quantity 1: The distance between station A and station B (only numerical value). Two trains started from station A and station B towards each other at the speed of 50km/h and 35km/h respectively. At the time of their meeting the faster train had travelled 90km more than the other train.
Quantity 2: Marked prize of the book (only numerical value). Mohan sold a book at 450/17% discount and still earned a profit of 25%. Cost prize of the book is Rs 300.Correct
Answer- 3) Quantity 1 = Quantity 2
Explanation-
Distance between station A and station B = 90/3 × 17 = 510 km = Quantity 1 (since 50:35 = 10:7)
Selling prize of the book = 300 + 25% of 300 = Rs 375
Marked prize of the book = 375/1250 × 17 × 100 = Rs 510 = Quantity 2
Therefore, quantity 1 = quantity 2Incorrect
Answer- 3) Quantity 1 = Quantity 2
Explanation-
Distance between station A and station B = 90/3 × 17 = 510 km = Quantity 1 (since 50:35 = 10:7)
Selling prize of the book = 300 + 25% of 300 = Rs 375
Marked prize of the book = 375/1250 × 17 × 100 = Rs 510 = Quantity 2
Therefore, quantity 1 = quantity 2 -
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeDirections (Q5 and Q6). What approximate value should come in the place of question mark (?) in the following questions:
121.15 ÷ 10.89 × 15.9 = x × 24.81 + 24.05
Correct
Answer- 1) 8
Explanation- Let the value in question mark be x. Then,
121 ÷ 11 × 16 + 48 = x × 25 + 24 (for converting every value into its nearest whole number)
176 + 48 = 25x + 24
25x = 200
x = 8Incorrect
Answer- 1) 8
Explanation- Let the value in question mark be x. Then,
121 ÷ 11 × 16 + 48 = x × 25 + 24 (for converting every value into its nearest whole number)
176 + 48 = 25x + 24
25x = 200
x = 8 -
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeDirections (Q5 and Q6). What approximate value should come in the place of question mark (?) in the following questions:
(24.93)2 – 37.04% of 4997.63 + 7997.34 ÷ ? = 1476.13
Correct
Answer- 3) 32
Explanation- Let the value in question mark be x.
Then, (25)2 – 37% of 5000 + 8000 ÷ x = 1475
625 – 1850 + 8000/x = 1475
x = 32Incorrect
Answer- 3) 32
Explanation- Let the value in question mark be x.
Then, (25)2 – 37% of 5000 + 8000 ÷ x = 1475
625 – 1850 + 8000/x = 1475
x = 32 -
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeWhat is the share of Adi in the total profit of Adi, Vicky and Harry at the end of 2018?
A. Vicky invested Rs 21600 in March 2018
B. The profit of Harry is Rs 6000 at the end of the year.
C. Share of Vicky in profit is Rs 8000.Correct
Answer- 5) All the statements are together not sufficient to answer the question.
Explanation: Even after using all the three statements, we will not know anything about the investments of Harry and Adi. Therefore it is not possible to calculate the profit share of Adi.Incorrect
Answer- 5) All the statements are together not sufficient to answer the question.
Explanation: Even after using all the three statements, we will not know anything about the investments of Harry and Adi. Therefore it is not possible to calculate the profit share of Adi. -
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeFind the total number of employees in the company.
A. Total number of officers are 78.
B. Ratio number of officers to the male clerks is 39:60.
C. Ratio of number of male clerks to female clerks is 6:7.Correct
Answer- 4) If all the statements together are sufficient to answer the question.
Explanation- All the statements are needed because to know total number of employees we need to know the total number of clerks. Male clerks can be known by using statements A and B. Female clerks and therefore total number of clerks can be known by using statements B and C. Therefore, all the three statements are needed.Incorrect
Answer- 4) If all the statements together are sufficient to answer the question.
Explanation- All the statements are needed because to know total number of employees we need to know the total number of clerks. Male clerks can be known by using statements A and B. Female clerks and therefore total number of clerks can be known by using statements B and C. Therefore, all the three statements are needed. -
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections (Q9 and Q10). Find the missing number in the given number series.
3, 10.5, _, 210, 1365
Correct
Answer- 4) 42
Explanation-
Correct series is:
3 × 3.5 = 10.5
10.5 × 4 = 42
42 × 5 = 210
210 × 6.5 = 1365Incorrect
Answer- 4) 42
Explanation-
Correct series is:
3 × 3.5 = 10.5
10.5 × 4 = 42
42 × 5 = 210
210 × 6.5 = 1365 -
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections (Q9 and Q10). Find the missing number in the given number series.
8, _,10, 22, 12,24
Correct
Answer- 2) 20
Explanation- Numbers are alternatively related to each other.
8,10,12 and 20, 22 and 24.
Therefore, the series is 8, 20, 10, 22, 12, 24.Incorrect
Answer- 2) 20
Explanation- Numbers are alternatively related to each other.
8,10,12 and 20, 22 and 24.
Therefore, the series is 8, 20, 10, 22, 12, 24.
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